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In the past couple of years my faculty have gone through deep-dive OFSTED inspections. A trial inspection with three HMIs and a real inspection. The trial inspection showed all students have a love of maths. Later, the real inspection, in the words of my headteacher, simply blew the lead inspector away. In each inspection we showed how we teach mathematics through problem solving.

Shortly after blogging about the inspections I received hundreds of messages from teachers and Heads of Maths asking for advice about how they can embed such an approach. My answer is simple, **make problem solving questions a feature of every lesson** for students of all abilities.

To help with this I would like to share four **problem solving **lessons. These range from applying the rules of arithmetic to solving real-life problems with compound interest. Every lesson comes with a worksheet and tutorial video that model the solutions.

Students are challenged to solve problems involving perimeter and area of rectangles and triangles.

Students are challenged to apply their understanding of the mean, mode, median and range to solve problems involving datasets.

Students are challenged to apply the rules of arithmetic to a series of real-life, functional problems.

Students are challenged to apply compound percentage changes to calculate an original amount after a percentage change, a percentage rate and compare real-life investments.

My name is Jonathan Robinson and I am passionate about teaching mathematics. I am currently Head of Maths in the South East of England and have been teaching for over 15 years. I am proud to have helped teachers all over the world to continue to engage and inspire their students with my lessons.

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September 17, 2021

Mathematics curriculum intent, implementation and impact for Heads of Maths and Maths Teachers

September 7, 2021

Solving quadratic inequalities by factorisation and sketched graphs.